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Finding the Fourth Proportional to 8,026.98, 12,042.81 and 3,647.94

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Solution

The fourth proportional to 8,026.98, 12,042.81 and 3,647.94 is: 5,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.98 : 12,042.81 = 3,647.94 : x
  2. Step 2: Convert to fraction form
    8,026.98/12,042.81 = 3,647.94/x
  3. Step 3: Cross multiply
    8,026.98x = 12,042.81 × 3,647.94
  4. Step 4: Simplify right side
    8,026.98x = 43,931,448.31
  5. Step 5: Solve for x
    x = 43,931,448.31/8,026.98
  6. Step 6: Final answer
    x = 5,472.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.